Question

The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the number of dogs at the shelter. The shelter manager uses m(b(x)) to find the amount of money to bring for the dog food purchase. The function m(x) = 3x + 1. Solve for how much money to bring when there are 10 dogs in the shelter.

15

31

46

52

Answer 1

write down the given functions

Answer 2

# of bags required :-
b(x) = 2x − 5

amount of money required for x bags:-
m(x) = 3x + 1

Answer 3

amount of money required for x dogs :-
m(b(x))

Answer 4

so we would insert 10 into the equation in place of x because there is 10 dogs?

Answer 5

yup, you have 3 functions,
whuch function gives u money, if u insert # of dogs ?

Answer 6

last 1

Answer 7

m(x) = 3x + 1

Answer 8

m(x) = 3x + 1
gives u money, if u enter # OF BAGS

Answer 9

so we need to use m(b(x)) = 3x + 1?

Answer 10

but we dont ahve # of bags,
we just have # of dogs

Answer 11

we need to use :-
m(b(x))

Answer 12

put x = 10

m(b(10))

Answer 13

find b(10) first

Answer 14

b(x) = 2x − 5

b(10) = 2(10) − 5
= 15

put this in m(b(10))

Answer 15

m(b(10))

m(15)

Answer 16

find m(15) now

Answer 17

m(x) = 3x + 1

m(15) = ?

Answer 18

u wid me still ? :)

Answer 19

yeah I gotcha

Answer 20

m(15) = 3(15) + 1

45+1

m(15) = 46

Answer 21

good job !

Answer 22

so they need 46 dollars for dog food :)

Answer 23

yup ! u like dogs... ur dp says it

Answer 24

lol

Answer 25

my picture is my dog :)